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液晶近晶C相的统计理论

杨国琛 钱祥忠

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液晶近晶C相的统计理论

杨国琛, 钱祥忠

STATISTICAL THEORY OF SC LIQUID CRYSTALS

YANG GUO-CHEN, QIAN XIANG-ZHONG
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  • 采用格胞模型,由自由能极小导出了分布函数满足的积分方程。定义了分子取向序参量、质心位置序参量及两者耦合的序参量。选用适当的两体势,求得分布函数近似解和相应自由能表达式。由此知SC—SA相变可以是二级相变,也可以是一级相变。对TBBA,TB8A和NOBA的倾斜角和序参量随温度变化,以及相变点附近熵变和热容量,作了数值计算。还计算了TBEA和4-n-alkoxybenzylidene-4′-aminozobenzens同系物的相变温度随分子链长度的变化。结果与实验相符。
    With cell model the integral equation of distribution function is obtained by minimiza-tion of the free energy function. The orienrational order parameter, the positional order pa-rameter and their coupling are defined. By a proper choice of the interaction potential, the approximate solution of the distribution function is obtained, and also for free energy. We find that SC-SA phase tdansition can be either the second order or the first. We have calcu-lated the temperature dependence of the tilt angle and of the order parameter, as well as the ent-ropy change and the heat capacity near the critical point for TBBA, TB8A and NOBA. The variation of the phase transition temperature with molecular chain length for homologous series of TBBA and 4-n-alkoxybenzylidene-4'-aminozobenzenes are also calculated. Our calculations agree satisfactorily with experimental results.
    • 基金项目: 国家自然科学基金
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  • 文章访问数:  6134
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  • 被引次数: 0
出版历程
  • 收稿日期:  1992-01-06
  • 刊出日期:  1993-02-05

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